A couple of GDQM and iteration techniques for the linear and nonlinear buckling of bi-directional functionally graded nanotubes based on the nonlocal strain gradient theory and high-order beam theory

Pin Wang; Zhijian Gao; Feng Pan; Zohre Moradi; Tayebeh Mahmoudi; Mohamed Amine Khadimallah

doi:10.1016/j.enganabound.2022.06.007

A couple of GDQM and iteration techniques for the linear and nonlinear buckling of bi-directional functionally graded nanotubes based on the nonlocal strain gradient theory and high-order beam theory

Pin Wang
, Zhijian Gao
, Feng Pan
, Zohre Moradi
, Tayebeh Mahmoudi
, Mohamed Amine Khadimallah

Civil Engineering

Shenzhen Polytechnic
Shenzhen University
Imam Khomeini International University
Saveetha Institute of Medical and Technical Sciences (Deemed to be University)
Engineering and Technology knowledge-based enterprise Company

Research output: Contribution to journal › Article › peer-review

106 Scopus citations

Abstract

This research studies the nonlinear buckling of two-dimensional functionally graded (2D-FG) nanotubes with porosity based on the Zhang-Fu theory of tubes, Timoshenko beam theory, and the nonlocal gradient strain theory (NSGT) as well as Von-Karmen nonlinear theory. In this paper, the formulation of the problem for various boundary conditions is generated according to the energy method. Then, the results are extracted by incorporating the generalized differential quadrature method (GDQM) coupled with the iteration method. The accuracy of the results is proven through comparative studies, and finally, the impact of different parameters, which influence the buckling of the nanotube, is investigated.

Original language	English
Pages (from-to)	124-136
Number of pages	13
Journal	Engineering Analysis with Boundary Elements
Volume	143
DOIs	https://doi.org/10.1016/j.enganabound.2022.06.007
State	Published - Oct 2022

Keywords

Buckling
High-order theory
Nonlocal strain gradient theory
Timoshenko theory
Two-dimensional functionally graded materials
Zhang-Fu's tube model

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10.1016/j.enganabound.2022.06.007

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Wang, P., Gao, Z., Pan, F., Moradi, Z., Mahmoudi, T., & Khadimallah, M. A. (2022). A couple of GDQM and iteration techniques for the linear and nonlinear buckling of bi-directional functionally graded nanotubes based on the nonlocal strain gradient theory and high-order beam theory. Engineering Analysis with Boundary Elements, 143, 124-136. https://doi.org/10.1016/j.enganabound.2022.06.007

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title = "A couple of GDQM and iteration techniques for the linear and nonlinear buckling of bi-directional functionally graded nanotubes based on the nonlocal strain gradient theory and high-order beam theory",

abstract = "This research studies the nonlinear buckling of two-dimensional functionally graded (2D-FG) nanotubes with porosity based on the Zhang-Fu theory of tubes, Timoshenko beam theory, and the nonlocal gradient strain theory (NSGT) as well as Von-Karmen nonlinear theory. In this paper, the formulation of the problem for various boundary conditions is generated according to the energy method. Then, the results are extracted by incorporating the generalized differential quadrature method (GDQM) coupled with the iteration method. The accuracy of the results is proven through comparative studies, and finally, the impact of different parameters, which influence the buckling of the nanotube, is investigated.",

keywords = "Buckling, High-order theory, Nonlocal strain gradient theory, Timoshenko theory, Two-dimensional functionally graded materials, Zhang-Fu's tube model",

author = "Pin Wang and Zhijian Gao and Feng Pan and Zohre Moradi and Tayebeh Mahmoudi and Khadimallah, \{Mohamed Amine\}",

note = "Publisher Copyright: {\textcopyright} 2022",

year = "2022",

month = oct,

doi = "10.1016/j.enganabound.2022.06.007",

language = "English",

volume = "143",

pages = "124--136",

journal = "Engineering Analysis with Boundary Elements",

issn = "0955-7997",

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}

Wang, P, Gao, Z, Pan, F, Moradi, Z, Mahmoudi, T & Khadimallah, MA 2022, 'A couple of GDQM and iteration techniques for the linear and nonlinear buckling of bi-directional functionally graded nanotubes based on the nonlocal strain gradient theory and high-order beam theory', Engineering Analysis with Boundary Elements, vol. 143, pp. 124-136. https://doi.org/10.1016/j.enganabound.2022.06.007

A couple of GDQM and iteration techniques for the linear and nonlinear buckling of bi-directional functionally graded nanotubes based on the nonlocal strain gradient theory and high-order beam theory. / Wang, Pin; Gao, Zhijian; Pan, Feng et al.
In: Engineering Analysis with Boundary Elements, Vol. 143, 10.2022, p. 124-136.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - A couple of GDQM and iteration techniques for the linear and nonlinear buckling of bi-directional functionally graded nanotubes based on the nonlocal strain gradient theory and high-order beam theory

AU - Wang, Pin

AU - Gao, Zhijian

AU - Pan, Feng

AU - Moradi, Zohre

AU - Mahmoudi, Tayebeh

AU - Khadimallah, Mohamed Amine

PY - 2022/10

Y1 - 2022/10

N2 - This research studies the nonlinear buckling of two-dimensional functionally graded (2D-FG) nanotubes with porosity based on the Zhang-Fu theory of tubes, Timoshenko beam theory, and the nonlocal gradient strain theory (NSGT) as well as Von-Karmen nonlinear theory. In this paper, the formulation of the problem for various boundary conditions is generated according to the energy method. Then, the results are extracted by incorporating the generalized differential quadrature method (GDQM) coupled with the iteration method. The accuracy of the results is proven through comparative studies, and finally, the impact of different parameters, which influence the buckling of the nanotube, is investigated.

AB - This research studies the nonlinear buckling of two-dimensional functionally graded (2D-FG) nanotubes with porosity based on the Zhang-Fu theory of tubes, Timoshenko beam theory, and the nonlocal gradient strain theory (NSGT) as well as Von-Karmen nonlinear theory. In this paper, the formulation of the problem for various boundary conditions is generated according to the energy method. Then, the results are extracted by incorporating the generalized differential quadrature method (GDQM) coupled with the iteration method. The accuracy of the results is proven through comparative studies, and finally, the impact of different parameters, which influence the buckling of the nanotube, is investigated.

KW - Buckling

KW - High-order theory

KW - Nonlocal strain gradient theory

KW - Timoshenko theory

KW - Two-dimensional functionally graded materials

KW - Zhang-Fu's tube model

UR - https://www.scopus.com/pages/publications/85132733857

U2 - 10.1016/j.enganabound.2022.06.007

DO - 10.1016/j.enganabound.2022.06.007

M3 - Article

AN - SCOPUS:85132733857

SN - 0955-7997

VL - 143

SP - 124

EP - 136

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

ER -

A couple of GDQM and iteration techniques for the linear and nonlinear buckling of bi-directional functionally graded nanotubes based on the nonlocal strain gradient theory and high-order beam theory

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